This might seem too obvious, but "shoot 'em" is probably a decent start - make those Predators and Stormravens do some work with their AT shots.
If the skimmers are screening other ground units, and you've got the movement and the numbers, you can engage the skimmer screen with one unit each, then your other units can move past them to get to the squishies behind (this is how mechanised Orks would do it - not sure if Blood Angel formations have the numbers to pull that off). You can also do this by barging through with a Thunderhawk.
Changing your force comp to be a bit more balanced might also be something to think about - you're bringing a knife to a gunfight. (Okay, it's more like a chainsaw made of lightsabers than a mere knife, but still, a gun or two would be handy.) A few more formations with decent FF and/or long-range firepower (Stormraven-mounted Devastators and Bikes both look pretty good) would give you more tools to work with.
If all else fails, just keep hittin' 'em. You'll inflict casualties with each assault, even if you lose, and Marines don't care nearly as much about getting broken as other forces do. Your first assault might fail. Your second assault might (barely) fail. Your third and/or fourth assault will break the formation and wipe them out.
People with actual Eldar experience might have more useful tips.